\[\lim_{t\to\infty}\frac{W_{n}\left(\tfrac{1}{2}(1-x)t^{2};\tfrac{1}{2}\alpha+%
\tfrac{1}{2},\tfrac{1}{2}\alpha+\tfrac{1}{2},\tfrac{1}{2}\beta+\tfrac{1}{2}+it%
,\tfrac{1}{2}\beta+\tfrac{1}{2}-it\right)}{t^{2n}n!}=P^{(\alpha,\beta)}_{n}%
\left(x\right).\]